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Finding the Fourth Proportional to 3,097.05, 4,638 and 2,797.19

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Solution

The fourth proportional to 3,097.05, 4,638 and 2,797.19 is: 4,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.05 : 4,638 = 2,797.19 : x
  2. Step 2: Convert to fraction form
    3,097.05/4,638 = 2,797.19/x
  3. Step 3: Cross multiply
    3,097.05x = 4,638 × 2,797.19
  4. Step 4: Simplify right side
    3,097.05x = 12,973,367.22
  5. Step 5: Solve for x
    x = 12,973,367.22/3,097.05
  6. Step 6: Final answer
    x = 4,188.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.